Solve {l}{2n-n=5}{3m+4n=2}

$$\left\{ \begin{array} { l } { 2 n - n = 5 } \\ { 3 m + 4 n = 2 } \end{array} \right.$$

Solve for n, m

$$n=5$$

$$m=-6$$

Solution Steps

Consider the first equation. Combine 2n and -n to get n.

$$n=5$$

Consider the second equation. Insert the known values of variables into the equation.

$$3m+4\times 5=2$$

Multiply 4 and 5 to get 20.

$$3m+20=2$$

Subtract 20 from both sides.

$$3m=2-20$$

Subtract 20 from 2 to get -18.

$$3m=-18$$

Divide both sides by 3.

$$m=\frac{-18}{3}$$

Divide -18 by 3 to get -6.

$$m=-6$$

The system is now solved.

$$n=5 m=-6$$